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  2. Lowest common denominator - Wikipedia

    en.wikipedia.org/wiki/Lowest_common_denominator

    For example, the numerators of fractions with common denominators can simply be added, such that + = and that <, since each fraction has the common denominator 12. Without computing a common denominator, it is not obvious as to what 5 12 + 11 18 {\displaystyle {\frac {5}{12}}+{\frac {11}{18}}} equals, or whether 5 12 {\displaystyle {\frac {5 ...

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    For example, in the fraction3 / 4 ⁠, the numerator 3 indicates that the fraction represents 3 equal parts, and the denominator 4 indicates that 4 parts make up a whole. The picture to the right illustrates ⁠ 3 / 4 ⁠ of a cake. Fractions can be used to represent ratios and division. [1]

  4. Cross-multiplication - Wikipedia

    en.wikipedia.org/wiki/Cross-multiplication

    We can reduce the fractions to lowest terms by noting that the two occurrences of b on the left-hand side cancel, as do the two occurrences of d on the right-hand side, leaving =, and we can divide both sides of the equation by any of the elements—in this case we will use d —getting =.

  5. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    The apparent plural form in English goes back to the Latin neuter plural mathematica , based on the Greek plural ta mathēmatiká (τὰ μαθηματικά) and means roughly "all things mathematical", although it is plausible that English borrowed only the adjective mathematic(al) and formed the noun mathematics anew, after the pattern of ...

  6. Constructivism (philosophy of education) - Wikipedia

    en.wikipedia.org/wiki/Constructivism_(philosophy...

    Constructivism in education is rooted in epistemology, a theory of knowledge concerned with the logical categories of knowledge and its justification. [3] It acknowledges that learners bring prior knowledge and experiences shaped by their social and cultural environment and that learning is a process of students "constructing" knowledge based on their experiences.

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